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# Introduction

In this demonstration, we are going to demonstrate the Interdependent Network Analysis to compute the connection loss and service flow reduction of an interdependent network composed of an electric power network and water network. Alternatively, we could also compute the connection loss and service flow reduction for an electric power network and gas network.

## Tutorial Example

This advanced tutorial is going to look at how the damage to one utility (a power network) could effect another utility (water network) that might rely on the power network to run, for example, water pumps. Because of this interdependency, looking at the physical damage to the water network is not enough to determine if it can still operate at full capacity after an earthquake event. Using the Interdependent Network Analysis, we can determine connection loss and service flow reduction. To get started, we will need to create a new scenario.

### Create Scenario

• If you have not already done so, launch the

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• Ergo application.
• Go to File -> New Scenario and this should bring up the new scenario dialog.
• Create a scenario with Shelby County, Tennessee as your region of interest and choose the

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• Ergo 3.1.1 Analysis Defaults as your default set. If you have been following other tutorials you might want to provide the scenario a name such as INA Shelby County.
• After doing this, click Finish to create the new scenario.

### Interdependent Network Analysis

First, we will need to determine the physical damage to our water network. To do this, go through the following steps:

• Click on the Execute Analysis ( Image Modified) icon to bring up the Execute Analysis wizard.
• Expand the Lifeline category and select Water Utility Network Damage Analysis. Click the Finish button.
• This should bring up the analysis graph for the Water Utility Network Damage Analysis. To bring up the form page, click on the water utility network damage box in the graph.
1. For the Result Name field, specify a name such as Water Network Damage for INA.
2. For the Water Network field, click the Search ( Image Modified) button and find the dataset named Memphis Water Utility Network for INA and click the Finish button.
• For the Hazard field, click the Create button to add the Create Scenario Earthquake box to the analysis graph. Click on the box to bring up the form page.
1. For the Result Name field, specify a name such as Memphis 7.3 Scenario Earthquake.
2. For the Magnitude field, specify 7.3.
• Go back to the Water Utility Network Damage Analysis form page so we can fill in the last few required fields.
1. Under Advanced Parameters you will find the Pipeline Fragilities field. Click the Search ( Image Modified) icon and find the dataset called Buried Pipeline Fragilities v1.1 and click the Finish button.
2. For the Pipeline Fragility Mapping field, click the Search ( Image Modified) icon and find the dataset called Buried Pipe Fragility Mapping 1.2.
3. Click the Execute button to run the analysis.

Now that we have determined the damage to the water network, let's do the same for the power network.

• Click on the Execute Analysis ( Image Modified) icon to bring up the Execute Analysis wizard again.
• Expand the Lifeline category and select Electric Power Utility Network Damage (Hazus Style). Click the Finish button.
• In the analysis graph, click on the Electric Power Utility Network Damage (Hazus Style) icon to bring up the form page.
1. For the Result Name field, specify a name such as Electric Power Network Damage for INA.
2. For the Power Network field, click the Search ( Image Modified) button and find the dataset called Memphis Electric Power Network for INA and click the Finish button to add it to your scenario.
3. For the Hazard field, click the Search ( Image Modified) button and locate the scenario earthquake we just created for the water network damage. If you used the example name previously specified, it should be called Memphis 7.3 Scenario Earthquake. Click the Finish button after you have located the dataset.
• All other required fields should be filled in so you can now click the Execute button to run the analysis.

One thing to note here is that our network dataset inputs (e.g. Memphis Electric Power Network for INA) contain both a link and a node dataset; however,

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Ergo can only display the links in the visualization view even though nodes are present as well. The drawback of this is that even though the Electric Power Utility Network Damage (Hazus Style) and the Water Utility Network Damage Analysis computed damage to both links and nodes, only the damage to the links can be displayed and viewed in the tabular view. The damage to the node dataset is there and will be used in the Interdependent Network Analysis even though they cannot be viewed. Now that we have our power network damage and water network damage, let's proceed to find what the effects are from their interdependencies.

• Click on the Execute Analysis ( Image Modified) icon again to bring up the Execute Analysis wizard.
• Expand the Lifeline category and select Interdependent Network Analysis. Click the Finish button.
• In the analysis graph, click on the Interdependent Network Analysis icon to bring up the form page.
1. For the Water (or Gas) Connectivity Loss Result Name field, specify a name such as Water Network Connectivity Loss.
2. For the Power Connectivity Loss Result Name field, specify a name such as Power Network Connectivity Loss.
3. For the Water (or Gas) Service Flow Reduction Result Name field, specify a name such as Water Network Service Flow Reduction.
4. For the Power Service Flow Reduction Result Name field, specify a name such as Power Network Service Flow Reduction.
5. For the Water (or Gas) Utility Network Damage field, select the result we just created from the drop down menu. If you followed the tutorial explicitly, then you should have a dataset called Water Network Damage for INA, select it.
6. For the Electric Power Utility Network Damage field, select the result we just created from the drop down menu. If you followed the tutorial explicitly, then you should have a dataset called Electric Power Network Damage for INA, select it.
7. For the Network Interdependency Table field, click the Search ( Image Modified) button and find the dataset called INA - Memphis interdependency table, click the Finish button to add it to the scenario.
8. For the Number of Simulation field, choose enough simulations to get a reasonable sampling. Something around 500 should be sufficient.
9. Under the Advanced Parameters section, you can leave the Use Homogeneous Interconnectedness Level? box unchecked.
• Click Execute to run the analysis.

After running the analysis, you should now have 4 new result tables under Scenario Data. You should have two connectivity loss tables, one for the water network and one for the power network and you should have two service flow reduction tables, one for the water network and one for the power network.

### Results

Now that we have some results, let's open up the datasets to see what we have. The connectivity loss tables have the following 3 columns:

• alpha
• meanconnloss
• stdconnloss

The service flow reduction tables have the following 3 columns:

• alpha
• meansfr
• stdsfr